Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-27T06:55:30.111Z Has data issue: false hasContentIssue false

Relations between cell dimensions, chemical composition, and site preference of orthopyroxene

Published online by Cambridge University Press:  05 July 2018

J. V. Smith
Affiliation:
Department of the Geophysical Sciences, University of Chicago, Chicago, Illinois 60637, U.S.A.
D. A. Stephenson
Affiliation:
Department of the Geophysical Sciences, University of Chicago, Chicago, Illinois 60637, U.S.A.
R. A. Howie
Affiliation:
Department of Geology, King's College, London
M. H. Hey
Affiliation:
Department of Mineralogy, British Museum (Natural History)

Summary

Cell dimensions have been measured from correctly indexed powder patterns of thirty natural and two synthetic orthopyroxenes. The natural specimens (mostly metamorphic) contain exsolved phases largely avoided during microprobe chemical analysis. Linear regression analysis between the cell dimensions and Mg, Al, Ca contents (ignoring minor elements) was quite unsatisfactory until a term in Mg2 was added. Two separate regression analyses for the ranges Mg 0–0·5 and 0·5–1 using only Mg, Al, and Ca were satisfactory. Olivine yielded satisfactory regressions for the whole range without a term in Mg2 (Louisnathan and Smith, 1968). The difference between olivine and pyroxene results from absence of site preference by Mg and Fe in olivine compared to strong preference in pyroxene revealed by electron density and Mössbauer studies (Bancroft, Burns, and Howie, 1967; Ghose and Hafner, 1967).

The data were recalculated by means of a new best-fit procedure developed by Hey in which the errors in the chemical and physical parameters are considered simultaneously.

Earlier measurements of a and b for plutonic pyroxenes are consistent within possible experimental uncertainties with those given here; however a and b data obtained by Kuno and by Hess on volcanic specimens are considerably higher by variable amounts. Although there are uncertainties in the Ca content and its effect on a and b, the larger dimensions probably result from lower site preference as indicated by Mössbauer studies.

Prediction of Mg, Ca, and Al from just the cell dimensions is only moderately accurate even for metamorphic orthopyroxenes.

Type
Research Article
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 1969

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

1

Now at Coming Glass Works, Corning, New York 14831.

References

Akimoto, (S.), Katsura, (T.), Syono, (Y.), Fujisawa, (H.), and Komada, (E.), 1965. Journ. Geophys. Res. 70, 5269-78.10.1029/JZ070i020p05269CrossRefGoogle Scholar
Bancroft, (G. M.) and Burns, (R. G.), 1967. Amer. Min. 52, 1278-87 [M.A. 19-93].Google Scholar
Bancroft, (G. M.) and Burns, (R. G.) and Howie, (R. A.), 1967. Nature, 213, 1221-3 [M.A. 18-244].10.1038/2131221a0CrossRefGoogle Scholar
Banno, (S.) and Matsui, (Y.), 1966. Proc. Japan Acad. 42, 629.10.2183/pjab1945.42.629CrossRefGoogle Scholar
Borg, (I.) and Smith, (D. K.), 1967. Progr. Abstr. Geol. Soc. Amer. Meeting, 18.Google Scholar
Brown, (G. M.), 1960. Amer. Min. 45, 15-38 [M.A. 15-143].Google Scholar
Brown, (G. M.), 1968. Mineralogy of basaltic rocks. In Basalts, vol. I. New York (Wiley).Google Scholar
Brown, (W. L.), Morimoto, (N.), and Smith, (J. V.), 1961. Journ. Geol. 69, 609-16 [M.A. 15-528].10.1086/626775CrossRefGoogle Scholar
Burnham, (C. W.), 1962. Ann. Rept. Dir. Geophys. Lab., Year Book, 61, 132.Google Scholar
Burnham, (C. W.), 1965. Ibid. 64, 202.10.1093/oxfordjournals.afraf.a095379CrossRefGoogle Scholar
Burnham, (C. W.), 1967. Ibid. 65, 285.Google Scholar
Coleman, (L. C.), 1962. Petrologic Studies. Geol. Soc. of America, Buddington Vol., 446-29 [M.A. 16-297].Google Scholar
Deer, (W. A.), Howie, (R. A.), and Zossman, (J.), 1963. Rock-forming Minerals, 2, Chain Silicates. London, Longmans, Green and Co. Ltd. Google Scholar
Dundon, (R. W.) and Walter, (L. S.), 1967. Earth and Planetary Sci. Letters, 2, 372.10.1016/0012-821X(67)90159-8CrossRefGoogle Scholar
Evans, (B. J.), Ghose, (S.), and Hafner, (S. S.), 1967. Journ. Geol. 75, 306.10.1086/627257CrossRefGoogle Scholar
Ghose, (S.), 1965 . Zeits. Krist. 122, 81.10.1524/zkri.1965.122.1-2.81CrossRefGoogle Scholar
Ghose, (S.) and Hafner, (S. S.), 1967. Ibid. 125, 157.10.1524/zkri.1967.125.125.157CrossRefGoogle Scholar
Grover, (J. E.) and Orville, (P. M.), 1968. In the press.Google Scholar
Hess, (H. H.), 1952. Amer. Journ. Sci., Bowen Vol., 173-87 [M.A. 12-97].Google Scholar
Hey, (M. H.), 1969. Min. Mag. 37, 83.10.1180/minmag.1969.037.285.09CrossRefGoogle Scholar
Howie, (R. A.), 1963. Min. Soc. Amer. Special Paper No. I, 213-22 [M.A. 17-311].Google Scholar
Howie, (R. A.) and Smith, (J. V.), 1966. Journ. Geol. 74, 443-62 [M.A. 18-192].10.1086/627177CrossRefGoogle Scholar
Ito, (T.), 1935. On the symmetry of the rhombic pyroxenes. Zeits. Krist. 90, 151-62 [M.A. 6-178].Google Scholar
Ito, (T.), 1950. X-ray Studies on Potymorphism. Tokyo (Maruzen Co. Ltd.) [M.A. 11-308].Google Scholar
Jahanbagloo, (C.) and Zoltai, (T.), 1967. Progr. Abstr. Geol. Soc. Amer. Meeting, 107.Google Scholar
Klein, (C.), 1966. Journ. Petrology, 7, 246-305.10.1093/petrology/7.2.246CrossRefGoogle Scholar
Kuno, (H.), 1954. Amer. Min. 39, 30-46 [M.A. 2-373].Google Scholar
Leake, (B. E.), 1968. Min. Mag. 36, 745-7 [M.A. 19-134].Google Scholar
Lewis, (J. F.), 1967. Amer. Min. 52, 42-54 [M.A. 18-275].Google Scholar
Lindemann, (W.), 1961. Neues Jahrb. Min. Monatsh., 226 [M.A. 15-417].Google Scholar
Louisnathan, (S. J.) and Smith, (J. V.), 1968. Min. Mag. 36, 1123.Google Scholar
Morimoto, (N.) and Koto, (K.), 1968. In the press.Google Scholar
Morimoto, (N.), Appleman, (D. E.), and Evans, (H. T.), 1960. Zeits. Krist. 114, 120.10.1524/zkri.1960.114.1-6.120CrossRefGoogle Scholar
Mueller, (R. F.), 1962. Geochimica Acta, 26, 581-98 [M.A. 16-379].CrossRefGoogle Scholar
Mueller, (R. F.), 1964. Ibid. 28, 189-207 [M.A. 16-640].10.1016/0016-7037(64)90148-6CrossRefGoogle Scholar
Nafziger, (R. H.) and Muan, (A.), 1967. Amer. Min. 52, 1364 85 [M.A. 19-110].Google Scholar
Nolan, (J.) and Edgar, (A. D.), 1963. Min. Mag. 33, 625-34 [M.A. 16-526].Google Scholar
Ramberg, (H.) and De Vore, (G.), 1951. Journ. Geol. 59, 193-210 [M.A. 11-390].10.1086/625852CrossRefGoogle Scholar
Sahama, (T. G.) and Torgeson, (D. R.), 1949. Journ. Geol. 57, 255-2 [M.A. 11-20].10.1086/625607CrossRefGoogle Scholar
Skinner, (B. J.) and Boyd, (F. R.), 1964. Ann. Rept. Dir. Geophys. Lab., Year Book, 63, 163.Google Scholar
Smith, (D. K.), 1967. Progr. Abstr. Geol. Soc. Amer. Meeting, 206.Google Scholar
Smith, (J. V.), 1956. Mitt. Mag. 31, 47 68.Google Scholar
Speidel, (D. H.)and Osborn, (E. F.), 1967. Amer. Min. 52, 1139-52 [M.A. 19-109].Google Scholar
Stephenson, (D. A.), Sclar, (C. B.), and Smith, (J. V.), 1966. Min. Mag. 35, 838-46 [M.A. 17-658].Google Scholar
Stephenson, (D. A.), Smith, (J. V.), and Howie, (R. A.), 1968. Papers Proc. 5th Gen. Meeting I.M.A. (1966), 338 (London, Min. Soc.).Google Scholar
Virgo, (D.) and Hafner, (S. S.), 1968. Earth and Planetary Sci. Letters, 4, 265 9.10.1016/0012-821X(68)90086-1CrossRefGoogle Scholar
Viswanathan, (K.), 1966. Amer. Min. 51, 429-42 [M.A. 17-770].Google Scholar
Warren, (B. E.) and Modell, (D. I.), 1930. Zeits. Krist. 75, 1-14 [M.A. 4-366].Google Scholar
Winchell, (H.) and Leake, (B. E.), 1965. Amer. Min. 50, 294 (abstr.).Google Scholar